Determine whether the functionfrepresents a probability density function over the given interval.

The function is a probability density function.

The function is not a probability density function.

Iffis not a probability density function, identify the condition(s) that is (are) not satisfied. (Select all that apply.)

The function is a probability density function.

The integral of the function on the interval [0, 8] is not equal to 1.

The function is negative on part of the interval [0, 8].

The function is not continuous on the interval [0, 8].

Use a graphing utility to graph the function. f(x) = _, [0, 8] y 0.5- 0.8 0.4 0.6- 0.3 - 0.4 0.2 - 0.21 X O 2 4 6 8 O 2 4 6 8 X 1 4 0.5- 1.0/ 0.4 0.8H 0.3 0.6- 0.2 - 0.4 0.1 0.2 - 2 6 I X 8 2 4 X 6 8 Determine whether the function f represents a probability density function over the given interval. O The function is a probability density function. The function is not a probability density function. If f is not a probability density function, identify the condition(s) that is (are) not satisfied. (Select all that apply.) The function is a probability density function The integral of the function on the interval [0, 8] is not equal to 1. The function is negative on part of the interval [0, 8]. The function is not continuous on the interval [0, 8]